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Diffstat (limited to 'src/Persistent_cohomology/doc/Intro_persistent_cohomology.h')
| -rw-r--r-- | src/Persistent_cohomology/doc/Intro_persistent_cohomology.h | 22 |
1 files changed, 22 insertions, 0 deletions
diff --git a/src/Persistent_cohomology/doc/Intro_persistent_cohomology.h b/src/Persistent_cohomology/doc/Intro_persistent_cohomology.h index 40dd3f93..e17e5926 100644 --- a/src/Persistent_cohomology/doc/Intro_persistent_cohomology.h +++ b/src/Persistent_cohomology/doc/Intro_persistent_cohomology.h @@ -172,6 +172,28 @@ Persistent_cohomology/alpha_complex_3d_persistence.cpp</a> computes the persiste 2 1 0.0934117 1.00003 2 2 0.56444 1.03938 \endcode +\li <a href="_persistent_cohomology_2exact_alpha_complex_3d_persistence_8cpp-example.html"> +Persistent_cohomology/exact_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with +\f$\mathbb{Z}/2\mathbb{Z}\f$ coefficients of the alpha complex on points sampling from an OFF file. +Here, as CGAL computes the exact values, it is slower, but it is necessary when points are on a grid +for instance. +\code $> ./exact_alpha_complex_3d_persistence ../../data/points/sphere3D_pts_on_grid.off 2 0.1 \endcode +\code Simplex_tree dim: 3 +2 0 0 inf +2 2 0.0002 0.2028 \endcode + +\li <a href="_persistent_cohomology_2weighted_alpha_complex_3d_persistence_8cpp-example.html"> +Persistent_cohomology/weighted_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with +\f$\mathbb{Z}/2\mathbb{Z}\f$ coefficients of the weighted alpha complex on points sampling from an OFF file +and a weights file. +\code $> ./weighted_alpha_complex_3d_persistence ../../data/points/tore3D_300.off +../../data/points/tore3D_300.weights 2 0.45 \endcode +\code Simplex_tree dim: 3 +2 -0 0 inf +2 1 0.0682162 1.0001 +2 1 0.0934117 1.00003 +2 2 0.56444 1.03938 \endcode + \li <a href="_persistent_cohomology_2alpha_complex_persistence_8cpp-example.html"> Persistent_cohomology/alpha_complex_persistence.cpp</a> computes the persistent homology with \f$\mathbb{Z}/p\mathbb{Z}\f$ coefficients of the alpha complex on points sampling from an OFF file. |